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Finding the Fourth Proportional to 7,310.96, 10,089.13 and 3,953.77

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Solution

The fourth proportional to 7,310.96, 10,089.13 and 3,953.77 is: 5,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.96 : 10,089.13 = 3,953.77 : x
  2. Step 2: Convert to fraction form
    7,310.96/10,089.13 = 3,953.77/x
  3. Step 3: Cross multiply
    7,310.96x = 10,089.13 × 3,953.77
  4. Step 4: Simplify right side
    7,310.96x = 39,890,128.87
  5. Step 5: Solve for x
    x = 39,890,128.87/7,310.96
  6. Step 6: Final answer
    x = 5,456.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.